Kriging and masurement errors

István Fazekas; Alexander G. Kukush

Discussiones Mathematicae Probability and Statistics (2005)

  • Volume: 25, Issue: 2, page 139-159
  • ISSN: 1509-9423

Abstract

top
A linear geostatistical model is considered. Properties of a universal kriging are studied when the locations of observations aremeasured with errors. Alternative prediction procedures are introduced and their least squares errors are analyzed.

How to cite

top

István Fazekas, and Alexander G. Kukush. "Kriging and masurement errors." Discussiones Mathematicae Probability and Statistics 25.2 (2005): 139-159. <http://eudml.org/doc/287696>.

@article{IstvánFazekas2005,
abstract = {A linear geostatistical model is considered. Properties of a universal kriging are studied when the locations of observations aremeasured with errors. Alternative prediction procedures are introduced and their least squares errors are analyzed.},
author = {István Fazekas, Alexander G. Kukush},
journal = {Discussiones Mathematicae Probability and Statistics},
keywords = {universal kriging; least squares; errors-in-variables},
language = {eng},
number = {2},
pages = {139-159},
title = {Kriging and masurement errors},
url = {http://eudml.org/doc/287696},
volume = {25},
year = {2005},
}

TY - JOUR
AU - István Fazekas
AU - Alexander G. Kukush
TI - Kriging and masurement errors
JO - Discussiones Mathematicae Probability and Statistics
PY - 2005
VL - 25
IS - 2
SP - 139
EP - 159
AB - A linear geostatistical model is considered. Properties of a universal kriging are studied when the locations of observations aremeasured with errors. Alternative prediction procedures are introduced and their least squares errors are analyzed.
LA - eng
KW - universal kriging; least squares; errors-in-variables
UR - http://eudml.org/doc/287696
ER -

References

top
  1. [1] O. Berke, On spatiotemporal prediction for on-line monitoring data, Comm. Statist. Theory Methods 27 (9) (1998), 2343-2369. Zbl0907.62099
  2. [2] N.A.C. Cressie, Statistics for Spatial Data, Wiley, New York 1991. Zbl0799.62002
  3. [3] I. Fazekas, S. Baran, A.G. Kukush, and J. Lauridsen, Asymptotic properties in space and time of an estimator in nonlinear functional errors-in-variables models, Random Oper. Stoch. Equ. 7 (4) (1999), 389-412. Zbl0953.62061
  4. [4] I. Fazekas and A.G. Kukush, Errors-in-variables and kriging, Proc. 4th International Conference on Applied Informatics, Eger 1999, 261-273. Zbl1003.62083
  5. [5] J. Gabrosek and N. Cressie, The effect on attribute prediction of locationuncertainity in spatial data, Geographical Analysis 34 (3) (2002), 261-285. 
  6. [6] D.G. Krige, A statistical approach to some basic mine valuations problems on the Witwatersrand, Journal of the Chemical, Metallurgical and Mining Society of South Africa 52 (1951), 119-139. 
  7. [7] S.J. Yakowitz and F. Szidarovszky, A comparison of kriging with nonparametric regression methods, J. Multivariate Anal. 16 (1985), 21-53. Zbl0591.62060

NotesEmbed ?

top

You must be logged in to post comments.